Page 11 - The Impact of the 2018 Trade War on U.S. Prices and Welfare
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     5.  Estimating Price and Welfare Losses
                   The  critical  question  for  short-run  impacts,  then,  is  whether  the  price  received  by  foreign
                           ∗
               exporters,    , falls in response to a tariff or not. A necessary condition for the U.S. to gain from
                           .
               these tariffs in the classical model is that foreign exporters absorb some of the tariff costs so that
               they are not fully born by home consumers (Figure 5 versus Figure 6). Thus, understanding how
               the price received by foreign exporters moves in response to a tariff increase is a first key step in
               understanding the welfare implications. We examine these effects by regressing the change in the
               log import unit value (measured without including the tariff change) over a twelve-month period
                            ∗
                         ∗
               (i.e., ln(   /   '-./ ) on the change in one plus the applied tariff on imports (i.e., ln[(1 +    )/(1 +
                         '
                                                                                                     '
                  '-./ )])  over  the  same  period.  Treating  the  Trump  administration’s  tariffs  as  exogenous,  and
               assuming  that  they  are  uncorrelated  with  unobserved  shocks  to  unit  values,  the  estimated
               coefficient in this regression captures the impact of the tariffs on the prices received by foreign
               exporters.
                   Column (1) of Table 1 shows the results from this regression. We obtain an estimate of tariffs
               on unit values of -0.003, which suggests that the tariff changes have had little-to-no impact on the
               prices received by foreign exporters. Moreover, because the standard error of this estimate is 0.024,
               the coefficient is precisely estimated, so we can reject the hypothesis that there is a substantial
               impact of tariffs on exporter prices. This finding that the Trump administration’s tariff changes
               have been almost entirely passed through into domestic prices, leaving exporter prices unchanged,
               is consistent with the findings from a different estimation methodology in Fajgelbaum, Goldberg,
               Kennedy and Khandelwal (2018).  Thus, it appears that the supply elasticity of exports, at least in
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               3 	While much of the existing literature on the passthrough of cost shocks into prices focuses on exchange rate
               shocks (e.g. Amiti, Itskhoki, and Konings (2014)), Khandelwal, De Loecker, Goldberg and Pavcnik (2016) examine
               the effect of lower tariffs in India, while Edmond, Midrigan and Xu (2015) consider the effects using Taiwanese
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